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Finding the Fourth Proportional to 298,370.36, 447,448.94 and 98,653.88

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Solution

The fourth proportional to 298,370.36, 447,448.94 and 98,653.88 is: 147,945.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,370.36 : 447,448.94 = 98,653.88 : x
  2. Step 2: Convert to fraction form
    298,370.36/447,448.94 = 98,653.88/x
  3. Step 3: Cross multiply
    298,370.36x = 447,448.94 × 98,653.88
  4. Step 4: Simplify right side
    298,370.36x = 44,142,574,032.89
  5. Step 5: Solve for x
    x = 44,142,574,032.89/298,370.36
  6. Step 6: Final answer
    x = 147,945.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.